重构带源的分数演化方程

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS

ACS Applied Bio Materials Pub Date : 2024-09-16 DOI:10.1007/s13540-024-00337-6

Amin Boumenir, Khaled M. Furati, Ibrahim O. Sarumi

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引用次数: 0

摘要

我们关注的是重建有源分式演化方程的逆问题。为此，我们利用对边界解的观测来重构算子的主部和时间导数的分数阶，同时利用时间 T 的超确定性来通过非迭代法恢复源。数值示例解释了如何利用有限数据计算分数阶和源。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

$Reconstruction of a fractional evolution equation with a source$

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Reconstruction of a fractional evolution equation with a source

We are concerned with the inverse problem of reconstructing a fractional evolution equation with a source. To this end we use observations of the solution on the boundary to reconstruct the principal part of the operator and the fractional order of the time derivative, while an overdetermination at a time T is used to recover the source by a non iterative method. Numerical examples explain how to compute the fractional order and the source using finite data.

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来源期刊

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464